Find an equation of tangent equation is 2x+6y=3. line to the graph of y=x+lax that is perpendicular to the l atpont (1,1).

Q: a) Answer the following questions, in how many ways: i) Can we select 6 persons to sit together at…

A: Solution

Q: al programme to calculate the first derive for the of an analytic, central, forward and backward…

A: Numerical programming for the given numerical problem is given as,

Q: 4. Which of the following subsets of R³ constitute a subspace of R³? [Here, x = (₁, §2, §3).] (a)…

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Q: 5 4 3 2 -5 -4 -3 -2 -1 3 4 -1 -2 -3 -4 Use the graph of f(x) above to estimate the value of f'(1) to…

A: The value of f'(1) is equal to the slope of the tangent through the point x=1.

Q: Let f(x) = x³ + x + 4 and g(x) = 2x + 3 in Z, [x]. Then, upon dividing f(x) by g(x), we get None of…

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Q: a = 3i - j - 4k, b = 2i +4j - 2k, c = -i +6k a. 4a - b b. b * (c - a) c. ||a * b|| d. the angle…

A: Solution : Given, a=3i-j-4k b=2i+4j-2k c=-i+6k a.) 4a-b=4(3i-j-4k)+2i+4j-2k =14i-18k b.)…

Q: 14. A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see…

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Q: 2. Find the inverse of A = 1 1 1 1 2 -1 3 1 -1 2 3 H2H2 1 using Gauss-Jordan method.

A: The solution is given as

Q: Q. If B = {e, = the usual basis R2. Determine its dual basis. ?? ده رده را( = (D, 1)} is

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Q: Q2) Compute trigonometric Fourier series coefficients of following 2-periodic signal defined on the…

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Q: (f. g)'(2) =

A: Real valued function: A function whose domain and codomain are subsets of the set of real numbers ℝ…

Q: Solve the differential equation using inspection method d'y d³y dx5 dx³ = 24.

A: We have given a differential equation ,  d5ydx5 - d3ydx3 = 24 This would be written as ,  yv - y'''…

Q: Toss a coin repeatedly, and let X, be the number of heads after n coin tosses, n ≥ 1. Suppose now…

A: Given: Xn|P=P∈Binn,p with P∈U0,1 To find: Distribution of Xn

Q: using the following: A(1, 0, -1), B(1, 7, 2), C(2, 4, -1), D(0, 3, 2) a) find the area of the…

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Q: of the following integral using the Simpson's 1/3 rule will result 0.001. Give the exact answer…

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Q: Find the Laurent expansion of g(z) = (2-1)/[23+322 +22] in i) 0 < 2 <1 ii) 3<|z| 0<z +2 <1 E

A: As per guidelines we experts are allowed to solve three sub-parts at a time. Please reupload the…

Q: 1. Trapezoid JKLM with vertices J(-6, 6). K(-3,7), L(-1.3), and M-8, 0): (x, y) (x+7, y-3) J'() K'…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Let (R, +,-) ring with properties X.XX, XER Cindempotent properties), show! @a = 0, x ER (b) x. y…

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Q: Let A be a nxn square matrix having rank 2 then rank of (A^t A) is (A^t- Transpose of A) Option A))…

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Q: Consider the discrete model Xn+1 = -Xn- Find the equilibrium points and determine their stability.

A: We are given the following discrete model xn+1=-xn3-xn. ----(1) Let us first find the equilibrium…

Q: (3) The solution of the following problem for the wave equation on the entire real-line: that=Uz…

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Q: Let C be the parametric curve defined by fa(t)=t²-t-6, y(t) = 4t³ + 3t² - 6t. Determine the point/s…

A: Using the parametric form of arc length

Q: 8. Time to explain: a) why does the vector equation of a plane have two parameters, while the vector…

A: Part (a) A line is a defined in one dimension, whereas, a plane is defined in 2 dimensions. So, for…

Q: Find the length of the curve. Hand written plzz √2ti + etj + etk, 0 ≤t≤ 3

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Q: LUE OF MONEY It is now January 1, 2018, and you will need $1,000 on January 1, 2022, in 4 years. If…

A: Given: P=$750, t=3 years, FV=$1000, n=1 To find: r=?

Q: Problem 25. Find the Laurent expansion of f(z) = 1/[2(2-1)(z-2)] in i) 0< < 1 ii) 1 < x < 2 iii) 2 <…

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Q: Find a set of parametric equations for the curve of intersection of the paraboloid x² + 4y² − z = 0…

A: To find the parametric equations for the intersection of given surfaces.

Q: Assume that the Taylor series centred at x = 0 of a function f(x) is Σo anx" Let g(x) = f(x³).…

A: The expansion f(x) is f(x)=∑n=0∞anxn Here a0=1, a2=2, a2=3, a4=4 Since  a0=1⇒f(0)=1…

Q: 5. Find all the solutions of the system below. 1 • (-) = -(+) a. y C 0 b. (+1) = c(-¹) y C -1 1 1 2…

A: 1211-11212xyz=000

Q: 4) If V is the imaginary part of an analytic function f then an analytic function with real part vis…

A: Imaginary part of an analytic function is the harmonic conjugate of the real part of this fu5.

Q: 1/6 tbsp vanilla extract =___tsp 6 tsp chocolate chips =____tbsp

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Q: A company determines that its total cost, in thousands of rands, for producing x  items is (image…

A: given total cost C=500e3x8 and production function x=5t6+1

Q: In a medical trial on COVID 19, there were 230 patients, 78 people received treatment A 81 people…

A: In the Venn diagram, the set notation is shown as

Q: Q1 Use Modified Euler's method without iterations to solve the ordinary differential equation at the…

A: Modified Euler's method uses the formula: ym+1=ym+hf(tm+12h,ym+12hf(tm,ym)) to approximate the value…

Q: Consider the vector-valued function Ŕ(t) = a. Find the domain of R. b. Determine if R is continuous…

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Q: 2x + 3y + z = 10 2x - 3y - 3z = 22 4x - 2y + 3z = -2 L Answer x = || y = U -E=3 Z =

A: The solution is given as

Q: Find a solution to the given IVP using Laplace and Inverse Laplace Transforms y" + 3y' + 2y = 4t²,…

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Q: 1. Determine the Inverse Matrix of the following using the 5 steps and Gauss - Jordan Method. [1.20…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Question 2: Show that path connectedness is topological property. Explain and show your work.

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Q: 2 Classify the point (0, 0) for f(x, y) = xye 2 by using Second derivative test if POSSIBLE. Lütfen…

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Q: a. Find -R(t), . give the parametric equations of the tangent line to the graph of -R(t) at t=0: 1…

A: Given that R't=4e2t,11+t2,2cosht R0=1,−2,3 To find: R(t) Parametric equation of the tangent line…

Q: Find a set of parametric equations for the curve of intersection of the paraboloid r² + 4y² -z = 0…

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Q: Consider the polar curves C₁ : r = 3 (in blue) and C₂: r = 2-2 sin (in red) and let R be the shaded…

A: 1. We can calculate the intersection of two polar curves by equating two given values of r in the…

Q: Find the length of the curve. Hand written plzz √2ti + etj + etk, 0 ≤t≤ 3

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Q: 9. A family with 6 children, 3 boys and 3 girls, is the probability that the number of boys is less…

A: To get the solution, use the following binomial distribution formula. PX=r=nrprqn-r Where n is the…

Q: Solve the system of differential equations. -17 x' = [3¹] 15 x₁ (0) = 8, x₂(0) = -8 x₁(t) = x₂(t) =

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Q: The sum of the series n-n+1 n! is

A: Solution : To find, ∑n=0∞n2-n+1n! Taylor expansion of ex around 0 ex=∑n=0∞xnn! put x=1; e=∑n=0∞1n!

Q: 1. Perform the required integrations to get the result in the notes e2t dr et dr že [00 (tt) Bu(t)dt…

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Q: Find the daigram only for the equation  z =x^2+y+cos(x^2)+siny

A: z=x2+y+cos(x2)+siny

Q: 1. If x=27-3k and y = 7+57-4k, express each of the following in terms of i, j, k a) 5x-2y

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